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Finding the Fourth Proportional to 7,154.30, 9,877.50 and 5,831.16

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Solution

The fourth proportional to 7,154.30, 9,877.50 and 5,831.16 is: 8,050.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.30 : 9,877.50 = 5,831.16 : x
  2. Step 2: Convert to fraction form
    7,154.30/9,877.50 = 5,831.16/x
  3. Step 3: Cross multiply
    7,154.30x = 9,877.50 × 5,831.16
  4. Step 4: Simplify right side
    7,154.30x = 57,597,282.90
  5. Step 5: Solve for x
    x = 57,597,282.90/7,154.30
  6. Step 6: Final answer
    x = 8,050.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.